7688393163136 has 192 divisors, whose sum is σ = 18483633792000. Its totient is φ = 3111878200320.

The previous prime is 7688393163131. The next prime is 7688393163167. The reversal of 7688393163136 is 6313613938867.

It is a happy number.

It is a super-2 number, since 2×7688393163136² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7688393163131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7918015131 + ... + 7918016101.

It is an arithmetic number, because the mean of its divisors is an integer number (96268926000).

Almost surely, 2^{7688393163136} is an apocalyptic number.

7688393163136 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7688393163136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241816896000).

7688393163136 is an abundant number, since it is smaller than the sum of its proper divisors (10795240628864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7688393163136 is an frugal number, since it uses more digits than its factorization.

7688393163136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 1478 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 64.

The spelling of 7688393163136 in words is "seven trillion, six hundred eighty-eight billion, three hundred ninety-three million, one hundred sixty-three thousand, one hundred thirty-six".